@article{JSSv034i05, title={Generalizing the Convex Hull of a Sample: The R Package alphahull}, volume={34}, url={https://www.jstatsoft.org/index.php/jss/article/view/v034i05}, doi={10.18637/jss.v034.i05}, abstract={This paper presents the R package <strong>alphahull</strong> which implements the α-convex hull and the α-shape of a finite set of points in the plane. These geometric structures provide an informative overview of the shape and properties of the point set. Unlike the convex hull, the α-convex hull and the α-shape are able to reconstruct non-convex sets. This flexibility make them specially useful in set estimation. Since the implementation is based on the intimate relation of theses constructs with Delaunay triangulations, the R package <strong>alphahull</strong> also includes functions to compute Voronoi and Delaunay tesselations. The usefulness of the package is illustrated with two small simulation studies on boundary length estimation.}, number={5}, journal={Journal of Statistical Software}, author={Pateiro-López, Beatriz and Rodríguez-Casal, Alberto}, year={2010}, pages={1–28} }